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Finding the Fourth Proportional to 13,009.84, 17,952.44 and 7,703.76

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Solution

The fourth proportional to 13,009.84, 17,952.44 and 7,703.76 is: 10,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.84 : 17,952.44 = 7,703.76 : x
  2. Step 2: Convert to fraction form
    13,009.84/17,952.44 = 7,703.76/x
  3. Step 3: Cross multiply
    13,009.84x = 17,952.44 × 7,703.76
  4. Step 4: Simplify right side
    13,009.84x = 138,301,289.17
  5. Step 5: Solve for x
    x = 138,301,289.17/13,009.84
  6. Step 6: Final answer
    x = 10,630.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.